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Find differentail cofficient of e power ax w.r. to x by frist principle

Find differentail cofficient of e power ax w.r. to x by frist principle

Grade:12

1 Answers

vaibhav
13 Points
4 years ago
lt h--0( e^a(x+h)-e^ax)/h;- 
=lt h--0 e^ax(e^ah-1)/h;
multiply and divide by a
u get
lt h--0 ae^ax(e^ah-1)/ah
=ae^ax lt h--0 (e^ah-1)/ah 
also lt h--0 (e^ah-1)/ah=loge=1
thus answer
  ae^ax

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